vereinfachen (9/((x+h)^2)-9/(x^2))/h

Lösung

vereinfachen

\frac{\frac{9}{( x + h ) ^{2}} - \frac{9}{x ^{2}}}{h}

- \frac{9 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

Schritte zur Lösung

\frac{\frac{9}{( x + h ) ^{2}} - \frac{9}{x ^{2}}}{h}

Füge zusammen:

\frac{9}{( x + h ) ^{2}} - \frac{9}{x ^{2}} : \frac{- 18 x h - 9 h ^{2}}{x ^{2} ( x + h ) ^{2}}

= \frac{\frac{- 18 x h - 9 h ^{2}}{x ^{2} ( x + h ) ^{2}}}{h}

Wende Bruchregel an:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{- 18 x h - 9 h ^{2}}{x ^{2} ( x + h ) ^{2} h}

Streiche

\frac{- 18 x h - 9 h ^{2}}{x ^{2} ( x + h ) ^{2} h} : - \frac{9 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

= - \frac{9 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

s im pl i f y (5 - 2)^{2}

x^{2} + 11 x + 18 \geq 0

22 x - 13 = 12 x - 23

s im pl i f y \frac{11}{23} - (- 1)

2 x^{2} - 6 x = 8